Pitched ball trajectory providing device

ABSTRACT

A pitched ball trajectory providing device includes a display; a support portion that fixes the display to a head of a user; a memory that stores a pitched ball trajectory prediction program; a communication module that receives pitched ball data from a pitched ball tracking device; and a processor that displays a pitched ball trajectory prediction result on the display according to execution of the pitched ball trajectory prediction program. The processor calculates a position of a ball around a home plate as time passes based on an initial position, an initial speed, and an initial acceleration of the ball included in the received pitched ball data for a predetermined time interval, and displays the pitched ball trajectory prediction result in which the calculated positions of the ball are sequentially arranged, on the display.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The present invention relates to a pitched ball trajectory providing device of a user wearable type, and to a wearable device that predicts trajectory of a flying ball and provides the predicted result to a field of view of a user.

2. Description of the Related Art

A radar-based data collection device may collect detailed data on movement of a ball in a sports game such as golf and baseball. The radar-based data collection device is used to apply a typical military radar technology for tracking missiles and the like to the sports game.

The radar-based data collection device has higher accuracy, stability, and traceability for a small and fast object than a typical video processing-based data collection device of related art, thereby, being more suitable for collecting and processing data on movement of a ball in real time at the sports game to track the movement of the ball.

Therefore, recently, in the field of professional golf and professional baseball, attempts have been made to track movements of a ball and a player in golf and baseball fields, collect data, and analyze a game and the player by using the collected data through the radar-based data collection device.

Meanwhile, in professional baseball, a strike determination on a ball pitched by a pitcher has been entirely dependent on the referee's determination, but there has been a problem of causing inaccurate determination due to intervention and bias of the referee. Therefore, it is time to develop a device for providing a pitched ball trajectory so as to assist determination of the referee by using data collected through the current radar-based data collection device.

However, the time until a ball pitched by a professional baseball pitcher passes through a home plate is from 0.41 to 0.45 seconds in a case of a fastball. Meanwhile, when using a normal wireless communication, a data processing time and a delay time for communication are from approximately 0.3 seconds to approximately 0.5 seconds. In this case, it is necessary to reduce the delay time in order for the referee to use the device for providing a pitched ball trajectory in a baseball game.

CITATION LIST Patent Literature

Korea Patent Publication No. 10-2015-0011562 (title of invention: Sports Game Analysis System and Method using Record and Moving Video for Respective Event of Sports Game)

SUMMARY OF THE INVENTION

The present invention is to provide a device for displaying a pitched ball trajectory prediction result in which a delay time for data processing and communication is reduced while a user including a referee wears the device in a sports game.

A pitched ball trajectory providing device of a user wearable type according to an embodiment of the present invention includes a display; a support portion that fixes the display to a head of a user; a memory that stores a pitched ball trajectory prediction program; a communication module that receives pitched ball data from a pitched ball tracking device; and a processor that displays a pitched ball trajectory prediction result on the display according to execution of the pitched ball trajectory prediction program. The processor calculates a position of a ball around a home plate as time passes based on an initial position, an initial speed, and an initial acceleration of the ball included in the received pitched ball data for a predetermined time interval, and displays the pitched ball trajectory prediction result in which the calculated positions of the ball are sequentially arranged, on the display.

A pitched ball trajectory providing method using a pitched ball trajectory providing device of a user wearable type, according to another embodiment of the present invention includes receiving pitched ball data including an initial position, an initial speed, and an initial acceleration of a ball from a pitched ball tracking device; calculating a position of the ball around a home plate as time passes based on the initial position, the initial speed, and the initial acceleration of the ball for a predetermined time interval; and displaying a pitched ball trajectory prediction result in which the calculated positions of the ball are sequentially arranged, on a display of the pitched ball trajectory providing device of a user wearable type.

Advantageous Effects

The pitched ball trajectory providing device according to an embodiments of the present invention calculates and provides a pitched ball trajectory prediction result based on data of a position, a speed, and an acceleration of the baseball at a predetermined time at the beginning of pitch of the baseball, thereby, having an effect in which the pitched ball trajectory prediction result is provided in response to the time when a baseball passes the strike zone.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a perspective view of a pitched ball trajectory providing device according to an embodiment of the present invention.

FIG. 2 is a configuration diagram of the pitched ball trajectory providing device according to the embodiment of the present invention.

FIG. 3 is an exemplary diagram of a pitched ball tracking device installed in a baseball field according to the embodiment of the present invention.

FIG. 4 is a schematic diagram illustrating an operation of the pitched ball tracking device according to the embodiment of the present invention.

FIG. 5 is a flowchart of a pitched ball trajectory providing device according to another embodiment of the present invention.

FIG. 6 is a view illustrating a pitched ball trajectory prediction result provided to a display according to the embodiment of the present invention.

DESCRIPTION OF SYMBOLS

-   -   1: pitched ball trajectory providing device     -   4: pitched ball tracking device     -   10: display     -   11: support portion     -   12: camera     -   13: memory     -   14: communication module     -   15: processor

DETAILED DESCRIPTION OF THE EMBODIMENT

Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings such that those skilled in the art may easily implement the present invention. The invention may be embodied in many different forms and is not limited to the embodiments described herein. In addition, portions not related to the description are omitted in the drawings so as to describe the present invention more clearly, and like reference numerals are attached to like portions throughout the specification.

Throughout the specification, when a portion is described to be “connected” to another portion, this includes not only “directly connected” but also “electrically connected” with other elements therebetween. Further, when a portion is described to “include” a certain configuration element, this means that the portion may further include other configuration elements, except to exclude other configuration elements unless described otherwise in particular.

The present invention relates to a pitched ball trajectory providing device of a user wearable type, and a wearable device that displays a trajectory of a thrown ball in a field of view of a user.

Hereinafter, a pitched ball trajectory providing device of a user wearable type according to the present invention will be described in detail with reference to the accompanying drawings.

FIG. 1 is a perspective view of a pitched ball trajectory providing device according to an embodiment of the present invention. FIG. 2 is a configuration diagram of the pitched ball trajectory providing device according to the embodiment of the present invention.

Referring to FIGS. 1 and 2, the pitched ball trajectory providing device of a user wearable type according to the embodiment of the present invention may include a display 10, a support portion 11, a memory 13, a communication module 14, and a processor 15.

The display 10 may visually display a pitched ball trajectory prediction result in a field of view of a user. For example, if the support portion 11 of the pitched ball trajectory providing device is a spectacle-type wearable device, the display may be disposed in front of lenses configuring eyeglasses. Further, the display may also be disposed in a part of the lenses. A display 10 may be a transparent display device. Since the display 10 is configured to be transparent, it may be easy for a user to capture an actual pitch. Further, the display 10 may provide an image such as that a virtual strike zone S is displayed over a home plate H, and display a pitched ball trajectory prediction result B together with the strike zone.

The support portion 11 may fix the display 10 to a head of a user. For example, the support portion 11 may be a spectacle-type wearable device or a helmet wearable device. As a pitched ball trajectory providing device 1 according to the embodiment, the spectacle-type wearable device may have the display 10 disposed at a central portion of the eyeglasses. Further, components such as a memory 13, a communication module 14, and a processor 15 may be disposed in a part of an eyeglass frame. The support portion according to a second embodiment may be provided in the form of a spectacle-type frame which is not provided with eyeglasses. At this time, the display may be disposed so as to extend from a part of the left and the right of the eyeglass frame to the front, and thereby, being entered into a field of view of a user. A helmet-type wearable device according to a third embodiment is formed in the form of a protective apparatus worn by a referee and may include a helmet and safety glasses. The display may be disposed on the front or a part of the safety glasses so as to provide a pitched ball trajectory prediction result to the field of view of the user. The components such as the communication module, the memory, and the processor may be mounted inside the helmet.

The memory 13 may store a pitched ball prediction program. Further, the memory 13 may perform a function of temporarily or permanently storing data processed by the processor 15. Here, the memory 13 may include a volatile storage medium or a non-volatile storage medium, but the scope of the present invention is not limited thereto.

The communication module 14 may receive pitched ball data from a pitched ball tracking device 4. The communication module 14 may include hardware and software necessary for transmitting and receiving a signal such as a control signal or a data signal through a wired or wireless connection with another network device. Here, the pitched ball tracking device 4 may be a radar-based data collection device or a camera-based data collection device.

Next, the pitched ball tracking device 4 according to the embodiment of the present invention will be described with reference to the accompanying drawings.

FIG. 3 is an exemplary diagram of the pitching tracking device installed in a baseball field according to the embodiment of the present invention. FIG. 4 is a schematic diagram illustrating an operation of the pitching tracking device according to the embodiment of the present invention.

Referring to FIGS. 3 and 4, the pitched ball tracking device 4 may be installed in the baseball field as the radar-based data collection device or the camera-based data collection device. For example, the radar-based data collection device may collect raw data of each player based on a movement of a ball in the baseball field. At this time, the raw data may include pitched ball information data including information on a pitch action of the player or hit information data including information on a hit action of the player.

For example, the pitched ball information data may include an initial speed, a release height, a release position, a rotation speed, a rotation axis angle, and an inclination of a ball thrown by a pitcher. In addition, the hit information data may include a speed, a launch angle, a trajectory, a flying distance, a rotation speed, and a drop point of a ball hit by a batter.

The radar-based data collection device may be installed such that the players may cover most of the baseball field during play in order to collect data of the players in the baseball field. For example, the radar-based data collection device may be disposed behind the home plate H of the baseball field.

The radar-based data collection device may emit radio waves toward the player. The radar-based data collection device may receive the reflected radio waves corresponding to the ball.

At this time, if the pitcher throws the ball or the batter hits the ball thrown by the pitcher, the number of vibrations of the ball may change. Therefore, the radar-based data collection device may detect vibration of the reflected radio waves and collect various types of data relating to pitch or hit of the player based on the change of the number of vibrations.

In addition, the radar-based data collection device may transmit the collected data to a data collection server or a client.

Meanwhile, the camera-based data collection device may collect raw data of each player based on a movement of the ball in the baseball field through a camera. At this time, the raw data may include pitched ball information data including information on a pitch action of the player or hit information data including information on a hit action of the player.

For example, the camera-based data collection device may continuously capture a video of movement of the player and the ball. the camera-based data collection device may analyze each frame based on the captured video to collect the pitched ball information data and the hit information data such as an initial speed, a release height, a release position, a rotation speed, a rotation axis angle, and a tilt of the ball.

The pitched ball tracking device 4 described above may be provided as the radar-based data collection device or the camera-based data collection device, and collect data stably and accurately when a pitcher pitches a ball or a batter hits the ball, as compared to a data collection device based on a video recognition technology based on past camera and motion cam. Further, the radar-based data collection device may perform real-time data processing because the amount of data is remarkably reduced compared to the video data.

Again, the processor 15 according to the present invention may perform a process of providing a pitched ball trajectory prediction result B for the display 10 according to execution of the pitched ball trajectory prediction program. Here, the processor 15 may include all kinds of devices capable of process data like a processor. Here, the “processor” may refer to a data processing device, which is embedded in hardware, including a circuit physically structured to perform a function represented by, for example, a code or a command included in a program. For example, the data processing device embedded in the hardware may include processing devices such as a microprocessor, a central processing unit (CPU), a processor core, a multiprocessor, an application-specific integrated circuit (ASIC), and a field programmable gate array (FPGA), but the scope of the present invention is not limited thereto.

The pitched ball trajectory providing device according to the embodiment of the present invention may further include a camera 12.

The camera 12 may be coupled to a part of the support portion 11 to capture a video of a ball flying to a catcher. The processor 15 may match and store the pitched ball trajectory prediction result B generated in the video captured by the camera 12 for each generation time point.

By doing so, a user may perform more accurately a pitched ball determination by reproducing the video matched with the pitched ball trajectory prediction result B stored in the memory 13 through the display 10. Further, hereafter, the video may be combined with pitched ball tracking data to evaluate training performance of a player or may be transmitted to another display module such as an electronic scoreboard in a baseball field through the communication module 14.

As described above, the pitched ball trajectory providing device according to the embodiment of the present invention may perform a process according to a pitched ball trajectory providing method below. Hereinafter, the pitched ball trajectory providing method will be described in detail with reference to the accompanying drawings.

FIG. 5 is a flowchart of the pitched ball trajectory providing method according to another embodiment of the present invention. FIG. 6 is a view illustrating a pitched ball trajectory prediction result provided to a display according to the embodiment of the present invention.

In the pitched ball trajectory providing method according to the embodiment of the present invention, step S100 of receiving pitched ball data including an initial position, an initial speed, and an initial acceleration of a ball from the pitched ball tracking device 4 through the communication module 14 by using the processor 15, may be performed.

Next, step S200 of calculating a position of the ball around the home plate H as time passes based on the initial position, the initial speed, and the initial acceleration of the ball for a predetermined time interval, may be performed. Here, the initial position of the ball may be a release point where the ball starts from the hand of a pitcher or a near position thereof.

For example, a position of the ball at the time of reaching the periphery of the home plate H may be calculated by using the initial position, a speed, and an acceleration of the ball collected for 0.1 to 0.15 seconds after the ball starts from the release point of the pitcher.

Meanwhile, the force acting on the pitched ball during the pitch may be a drag force caused by air, the Magnus force generated by a rotation of the ball, and the gravity. Based on this, the position of the ball may be calculated at a certain point after the pitch.

For example, in step S200, the processor 15 may calculate the position of the ball at a certain point after the pitch based on Equation 1 below.

$\begin{matrix} {{{{While}\mspace{14mu} \Delta \; t} \leq t \leq t_{f}}\left. {x(t)}\leftarrow{{x\left( {t - {\Delta \; t}} \right)} + {v_{x}\Delta \; t} + {\frac{1}{2}a_{x}\Delta \; t^{2}}} \right.\left. {y(t)}\leftarrow{{y\left( {t - {\Delta \; t}} \right)} + {v_{y}\Delta \; t} + {\frac{1}{2}a_{y}\Delta \; t^{2}}} \right.\left. {z(t)}\leftarrow{{z\left( {t - {\Delta \; t}} \right)} + {v_{z}\Delta \; t} + {\frac{1}{2}a_{z}\Delta \; t^{2}}} \right.\left. t\leftarrow{t + {\Delta \; t}} \right.} & {{Equation}\mspace{14mu} 1} \end{matrix}$

Here, x(t), y(t), and z(t) may be position coordinates of the ball at time t with respect to each coordinate axis on a rectangular coordinate system. Further, v_(x), v_(y), and v_(z) may be speeds of the ball for each coordinate axis. Further, a_(x), a_(y), and a_(z) may be accelerations of the ball with respect to each coordinate axis. At may also be a minimum time unit for tracking the position of the ball. t_(f) may also be the time when the ball arrives at an end point. For example, the end point may mean the periphery of the home plate H. Further, for the sake of convenient description, Equation 3 is the same as Equation 1.

Further, in step S200, the processor 15 may calculate the position of the ball at a certain time after the pitch by reflecting a change in the speed and acceleration of the ball as time passes, based on Equation 2 below.

$\begin{matrix} {{{{While}\mspace{14mu} \Delta \; t} \leq t \leq t_{f}}\left. {x(t)}\leftarrow{{x\left( {t - {\Delta \; t}} \right)} + {v_{x}\Delta \; t} + {\frac{1}{2}a_{x}\Delta \; t^{2}}} \right.\left. {y(t)}\leftarrow{{y\left( {t - {\Delta \; t}} \right)} + {v_{y}\Delta \; t} + {\frac{1}{2}a_{y}\Delta \; t^{2}}} \right.\left. {z(t)}\leftarrow{{z\left( {t - {\Delta \; t}} \right)} + {v_{z}\Delta \; t} + {\frac{1}{2}a_{z}\Delta \; t^{2}}} \right.\left. v_{x}\leftarrow{v_{x} + {a_{x}\Delta \; t}} \right.\left. v_{y}\leftarrow{v_{y} + {a_{y}\Delta \; t}} \right.\left. v_{z}\leftarrow{v_{z} + {a_{z}\Delta \; t}} \right.\left. a_{x}\leftarrow{{{KC}_{D}{{v} \cdot v_{x}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{y}v_{z}} - {\omega_{z}v_{y}}} \right)}} \right.\left. a_{y}\leftarrow{{{KC}_{D}{{v} \cdot v_{y}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{z}v_{x}} - {\omega_{x}v_{z}}} \right)}} \right.\left. a_{z}\leftarrow{{{KC}_{D}{{v} \cdot v_{z}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{x}v_{y}} - {\omega_{y}v_{x}}} \right)} + g} \right.\left. t\leftarrow{t + {\Delta \; t}} \right.} & {{Equation}\mspace{14mu} 2} \end{matrix}$

Here, x(t), y(t), and z(t) may be position coordinates of the ball at the time t with respect to each coordinate axis on the rectangular coordinate system. Further, v_(x), v_(y), and v_(z) may be the speed of the ball with respect to each coordinate axis. Further, a_(x), a_(y), and a_(z) may be accelerations of the ball with respect to each coordinate axis. Further, ω_(x), ω_(y), and ω_(z) may be angular velocities of the ball with respect to each coordinate axis. Further, C_(D) may be a drag coefficient, C_(L) may be a lift coefficient, g may be a gravitational acceleration, and

${K = {{- \frac{1}{2}}\frac{\rho A}{m}}}.$

Here, ρ is an air density, m is a mass of the baseball, and A is a cross-sectional area of the baseball. Further, for the sake of convenient description, Equation 4 is the same as Equation 2.

Equation 2 may be described based on Equations 5 and Equation 6 below.

$\begin{matrix} {\overset{\rightarrow}{a_{D}} = {{- \frac{1}{2}}\frac{\rho \; A}{m}C_{D}v^{2}\hat{v}}} & {{Equation}\mspace{14mu} 5} \\ {\overset{\rightarrow}{a_{M}} = {{- \frac{1}{2}}\frac{\rho \; A}{m}C_{L}v^{2}\frac{\hat{\omega} \times \hat{v}}{{\hat{\omega} \times \hat{v}}}}} & \; \end{matrix}$

First, the acceleration may be represented as the sum of a drag force, the Magnus force, and the gravity applied to the ball. The acceleration a_(D) of the ball caused by the drag force and the acceleration am caused by the Magnus force may be seen in Equation 5 above.

Here, C_(D) is a drag coefficient, C_(L) is a lift coefficient, ρ is an air density, m is a mass of the baseball, and A is a cross-sectional area of the baseball. Here, components of the x, y, and z axes of the drag force and the Magnus force may be calculated by using Equation 6 below.

$\begin{matrix} {a_{Dx} = {{KC}_{D}{{v} \cdot v_{x}}}} & {{Equation}\mspace{14mu} 6} \\ {a_{Dy} = {{KC}_{D}{{v} \cdot v_{y}}}} & \; \\ {a_{Dz} = {{KC}_{D}{{v} \cdot v_{z}}}} & \; \\ {a_{M\; x} = {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{y}v_{z}} - {\omega_{z}v_{y}}} \right)}} & \; \\ {a_{My} = {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{z}v_{x}} - {\omega_{x}v_{z}}} \right)}} & \; \\ {a_{Mz} = {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{x}v_{y}} - {\omega_{y}v_{x}}} \right)}} & \; \\ {{{where}\mspace{14mu} K} = {{- \frac{1}{2}}\frac{\rho \; A}{m}}} & \; \end{matrix}$

Finally, the acceleration of the ball in the x, y, and z directions may be calculated by adding the acceleration caused by the drag force and Magnus force, and by additionally adding a gravity acceleration to a z-axis value. In summary, as represented by Equation 2, the position, the speed, and the acceleration of the ball may be sequentially calculated as time passes.

Next, step S300 of displaying the pitched ball trajectory prediction result B in which positions of the ball calculated by the processor 15 are sequentially arranged, on the display 10 of the pitched ball trajectory providing device, may be performed.

In step S300, the processor 15 may provide an image to the display 10 as if a virtual strike zone S is displayed above the home plate H, and display the pitched ball trajectory prediction result B together with the strike zone S.

Referring to FIG. 6, the strike zone S may be a space above the home plate according to baseball regulations. Accordingly, the display 10 may display the three-dimensional strike zone S corresponding to the space above the home plate, and the pitched ball trajectory prediction result B representing a three-dimensional pitched ball trajectory therefor may be provided in a complex manner such that positions of the ball entering and exiting the strike zone S may be grasped, and thereby, a referee may be helped to make an accurate determination.

Further, as another embodiment of the pitched ball trajectory prediction result, a pitched ball trajectory prediction result showing coordinates of the ball may be provided corresponding to positions of a plurality of cross-sections at a region adjacent to the home plate H. For example, the pitched ball trajectory prediction result may be provided in a manner in which pitched ball trajectory prediction coordinates are formed on vertical cross sections spaced by 30 cm, 20 cm, 10 cm, 0 cm, −10 cm, and −20 cm from one point above the home plate H, based on a direction toward a mound to which the ball flies from the home plate H.

Further, the pitched ball trajectory providing method may further include step S400 of matching and storing the pitched ball trajectory prediction result B generated from a video captured by the camera 12 for each generation time.

As such, a user may perform pitched ball determination more accurately or evaluate a training performance of a player by reproducing a video for comparing the pitched ball trajectory prediction result B with the actually captured movement of the ball, through the display 10, and may provide the video to another display module such as an electronic scoreboard in a baseball field through the communication module 14.

The pitched ball trajectory providing device and method according to the embodiments of the present invention described above calculates and provides a pitched ball trajectory prediction result based on data of a position, a speed, and an acceleration of the baseball at a predetermined time at the beginning of pitch of the baseball, thereby, having an effect in which the pitched ball trajectory prediction result B is provided in response to the time when a baseball passes the strike zone S.

The pitched ball trajectory providing method according to the embodiment of the present invention may be realized in the form of a recording medium including a computer executable command, such as a program module executed by a computer. A computer readable medium may be any available medium that can be accessed by the computer and include all of volatile and nonvolatile media, and removable and non-removable media. Further, the computer readable medium may include a computer storage medium. The computer storage medium includes all of the volatile and nonvolatile media, and the removable and non-removable media realized by using a certain method or technology for storing information such as the computer readable command, a data structure, a program module or other data. Although the method and system according to the present invention are described in connection with specific embodiments, some or all of configuration elements or operations thereof may be realized by using a computer system having a general hardware architecture.

The description of the present invention described above is for an illustrative purpose, and those skilled in the art to which the present invention belongs will be able to understand that the present invention can be changed to other specific forms without changing the technical idea or essential features of the present invention. Therefore, it should be understood that the embodiments described above are exemplary in all respects and not restrictive. For example, each configuration element described as a single type may be implemented in a distributed manner, and similarly, configuration elements described in a distributed manner may be implemented in a combined form.

It should be construed that the scope of the present invention is represented by the following claims rather than the detailed description, and all changes or modifications derived from the meaning and scope of the claims and their equivalents are included within the scope of the present invention. 

What is claimed is:
 1. A pitched ball trajectory providing device of a user wearable type comprising: a display; a support portion that fixes the display to a head of a user; a memory that stores a pitched ball trajectory prediction program; a communication module that receives pitched ball data from a pitched ball tracking device; and a processor that displays a pitched ball trajectory prediction result on the display according to execution of the pitched ball trajectory prediction program, wherein the processor calculates a position of a ball around a home plate as time passes based on an initial position, an initial speed, and an initial acceleration of the ball included in the received pitched ball data for a predetermined time interval, and displays the pitched ball trajectory prediction result in which the calculated positions of the ball are sequentially arranged, on the display.
 2. The pitched ball trajectory providing device according to claim 1, wherein the pitched ball tracking device a radar-based data collection device or a camera-based data collection device.
 3. The pitched ball trajectory providing device according to claim 1, wherein the processor displays a virtual strike zone above the home plate and displays the pitched ball trajectory prediction result together with the strike zone.
 4. The pitched ball trajectory providing device according to claim 1, wherein the support portion is a spectacle-type wearable device or a helmet-type wearable device, and the display is a transparent display device.
 5. The pitched ball trajectory providing device according to claim 1, wherein the processor calculates the position of the ball at any point after the pitch based on Equation 1 below, $\begin{matrix} {{{{While}\mspace{14mu} \Delta \; t} \leq t \leq t_{f}}\left. {x(t)}\leftarrow{{x\left( {t - {\Delta \; t}} \right)} + {v_{x}\Delta \; t} + {\frac{1}{2}a_{x}\Delta \; t^{2}}} \right.\left. {y(t)}\leftarrow{{y\left( {t - {\Delta \; t}} \right)} + {v_{y}\Delta \; t} + {\frac{1}{2}a_{y}\Delta \; t^{2}}} \right.\left. {z(t)}\leftarrow{{z\left( {t - {\Delta \; t}} \right)} + {v_{z}\Delta \; t} + {\frac{1}{2}a_{z}\Delta \; t^{2}}} \right.\left. t\leftarrow{t + {\Delta \; t}} \right.} & {{Equation}\mspace{20mu} 1} \end{matrix}$ wherein x(t), y(t), and z(t) are position coordinates of the ball at time t, v_(x), v_(y), and v_(z) are speeds of the ball, and a_(x), a_(y), and a_(z) are accelerations of the ball.
 6. The pitched ball trajectory providing device according to claim 1, wherein the processor calculates the position of the ball at any time after the pitch by reflecting a change in the speed and acceleration of the ball as time passes, based on Equation 2 below, $\begin{matrix} {{{{While}\mspace{14mu} \Delta \; t} \leq t \leq t_{f}}\left. {x(t)}\leftarrow{{x\left( {t - {\Delta \; t}} \right)} + {v_{x}\Delta \; t} + {\frac{1}{2}a_{x}\Delta \; t^{2}}} \right.\left. {y(t)}\leftarrow{{y\left( {t - {\Delta \; t}} \right)} + {v_{y}\Delta \; t} + {\frac{1}{2}a_{y}\Delta \; t^{2}}} \right.\left. {z(t)}\leftarrow{{z\left( {t - {\Delta \; t}} \right)} + {v_{z}\Delta \; t} + {\frac{1}{2}a_{z}\Delta \; t^{2}}} \right.\left. v_{x}\leftarrow{v_{x} + {a_{x}\Delta \; t}} \right.\left. v_{y}\leftarrow{v_{y} + {a_{y}\Delta \; t}} \right.\left. v_{z}\leftarrow{v_{z} + {a_{z}\Delta \; t}} \right.\left. a_{x}\leftarrow{{{KC}_{D}{{v} \cdot v_{x}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{y}v_{z}} - {\omega_{z}v_{y}}} \right)}} \right.\left. a_{y}\leftarrow{{{KC}_{D}{{v} \cdot v_{y}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{z}v_{x}} - {\omega_{x}v_{z}}} \right)}} \right.\left. a_{z}\leftarrow{{{KC}_{D}{{v} \cdot v_{z}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{x}v_{y}} - {\omega_{y}v_{x}}} \right)} + g} \right.\left. t\leftarrow{t + {\Delta \; t}} \right.} & {{Equation}\mspace{14mu} 2} \end{matrix}$ wherein x(t), y(t), and z(t) are position coordinates of the ball at time t, v_(x), v_(y), and v_(z) are speeds of the ball, a_(x), a_(y), and a_(z) are accelerations of the ball, ω_(x), ω_(y), and ω_(z) are angular speeds of the ball, C_(D) is a drag coefficient, C_(L) is a lift coefficient, g is a gravity acceleration, ${K = {{- \frac{1}{2}}\frac{\rho A}{m}}},$ ρ is an air density, m is a mass of a baseball, and A is a cross-sectional area of the baseball.
 7. The pitched ball trajectory providing device according to claim 1, further comprising: a camera that is coupled to the support portion, wherein the processor matches the generated pitched ball trajectory prediction result with a video captured by the camera for each generation time point and stores the matched data.
 8. A pitched ball trajectory providing method using a pitched ball trajectory providing device of a user wearable type comprising: (a) receiving pitched ball data including an initial position, an initial speed, and an initial acceleration of a ball from a pitched ball tracking device; (b) calculating a position of the ball around a home plate as time passes based on the initial position, the initial speed, and the initial acceleration of the ball for a predetermined time interval; and (c) displaying a pitched ball trajectory prediction result in which the calculated positions of the ball are sequentially arranged, on a display of the pitched ball trajectory providing device of a user wearable type.
 9. The pitched ball trajectory providing method according to claim 8, wherein in the step of (c), a virtual strike zone is displayed above the home plate and the pitched ball trajectory prediction result is displayed together with the strike zone.
 10. The pitched ball trajectory providing method according to claim 8, wherein the pitched ball trajectory providing device of the user wearable type is a spectacle-type wearable device or a helmet-type wearable device, and the display is a transparent display device.
 11. The pitched ball trajectory providing method according to claim 8, wherein in the step of (b), the position of the ball is calculated at any point after the pitch based on Equation 3 below, While  Δ t ≤ t ≤ t_(f) $\left. {x(t)}\leftarrow{{x\left( {t - {\Delta \; t}} \right)} + {v_{x}\Delta \; t} + {\frac{1}{2}a_{x}\Delta \; t^{2}}} \right.$ $\left. {y(t)}\leftarrow{{y\left( {t - {\Delta \; t}} \right)} + {v_{y}\Delta \; t} + {\frac{1}{2}a_{y}\Delta \; t^{2}}} \right.$ $\left. {z(t)}\leftarrow{{z\left( {t - {\Delta \; t}} \right)} + {v_{z}\Delta \; t} + {\frac{1}{2}a_{z}\Delta \; t^{2}}} \right.$ t ← t + Δ t wherein x(t), y(t), and z(t) are position coordinates of the ball at time t, v_(x), v_(y), and v_(z) are speeds of the ball, and a_(x), a_(y), and a_(z) are accelerations of the ball.
 12. The pitched ball trajectory providing method according to claim 8, wherein in the step of (b), the position of the ball is calculated at any time after the pitch by reflecting a change in the speed and acceleration of the ball as time passes, based on Equation 4 below, $\begin{matrix} {{{{While}\mspace{14mu} \Delta \; t} \leq t \leq t_{f}}\left. {x(t)}\leftarrow{{x\left( {t - {\Delta \; t}} \right)} + {v_{x}\Delta \; t} + {\frac{1}{2}a_{x}\Delta \; t^{2}}} \right.\left. {y(t)}\leftarrow{{y\left( {t - {\Delta \; t}} \right)} + {v_{y}\Delta \; t} + {\frac{1}{2}a_{y}\Delta \; t^{2}}} \right.\left. {z(t)}\leftarrow{{z\left( {t - {\Delta \; t}} \right)} + {v_{z}\Delta \; t} + {\frac{1}{2}a_{z}\Delta \; t^{2}}} \right.\left. v_{x}\leftarrow{v_{x} + {a_{x}\Delta \; t}} \right.\left. v_{y}\leftarrow{v_{y} + {a_{y}\Delta \; t}} \right.\left. v_{z}\leftarrow{v_{z} + {a_{z}\Delta \; t}} \right.\left. a_{x}\leftarrow{{{KC}_{D}{{v} \cdot v_{x}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{y}v_{z}} - {\omega_{z}v_{y}}} \right)}} \right.\left. a_{y}\leftarrow{{{KC}_{D}{{v} \cdot v_{y}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{z}v_{x}} - {\omega_{x}v_{z}}} \right)}} \right.\left. a_{z}\leftarrow{{{KC}_{D}{{v} \cdot v_{z}}} + {{KC}_{L}\frac{v}{\omega}\left( {{\omega_{x}v_{y}} - {\omega_{y}v_{x}}} \right)} + g} \right.\left. t\leftarrow{t + {\Delta \; t}} \right.} & {{Equation}\mspace{14mu} 4} \end{matrix}$ wherein x(t), y(t), and z(t) are position coordinates of the ball at time t, v_(x), v_(y), and v_(z) are speeds of the ball, a_(x), a_(y), and a_(z) are accelerations of the ball, ω_(x), ω_(y), and ω_(z) are angular speeds of the ball, C_(D) is a drag coefficient, C_(L) is a lift coefficient, g is a gravity acceleration, ${K = {{- \frac{1}{2}}\frac{\rho A}{m}}},$ ρ is an air density, m is a mass of a baseball, and A is a cross-sectional area of the baseball.
 13. The pitched ball trajectory providing method according to claim 8, further comprising: (d) matching the generated pitched ball trajectory prediction result to a video captured by a camera and storing the matched data, wherein the camera is coupled to the pitched ball trajectory providing device.
 14. A non-transitory computer-readable recording medium having a program recorded thereon for performing the method according to claim 8 on a computer.
 15. A non-transitory computer-readable recording medium having a program recorded thereon for performing the method according to claim 9 on a computer.
 16. A non-transitory computer-readable recording medium having a program recorded thereon for performing the method according to claim 10 on a computer.
 17. A non-transitory computer-readable recording medium having a program recorded thereon for performing the method according to claim 11 on a computer.
 18. A non-transitory computer-readable recording medium having a program recorded thereon for performing the method according to claim 12 on a computer.
 19. A non-transitory computer-readable recording medium having a program recorded thereon for performing the method according to claim 13 on a computer. 